Iterated Functions Systems, Blenders and Parablenders
Pierre Berger, Sylvain Crovisier, Enrique Pujals
TL;DR
This paper redefines the concept of parablenders as parametric iterated function systems (IFS) using open covering properties and jet space analysis, advancing the theoretical framework of dynamical systems.
Contribution
It introduces a new perspective by recasting parablenders as parametric IFS acting on jets, linking open covering properties with system dynamics.
Findings
Reformulation of parablenders as parametric IFS
Use of open covering property in analysis
Application to systems acting on jets
Abstract
We recast the notion of parablender introduced in [Berger2015] as a parametric IFS. This is done using the concept of open covering property and looking to parametric IFS as systems acting on jets.
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